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Elza [17]
2 years ago
12

mary invested £12000 in a savings account. the account pays 1.5% compound interest per year. work out value of her investment af

ter 2 years
Mathematics
1 answer:
Irina18 [472]2 years ago
3 0
Hi there! The formula for compound interest is P(1 + r)^t, where P = Principal (initial amount), r = rate (percentage rate), and t = time (years). Let's start off by adding 1 to the percentage rate in decimal form. 1.5% is 0.015 in decimal form. 1 + 0.015 is 1.015. The amount of time is 2 years, so we raise that decimal to the 2nd power. 1.015^2 is 1.030225. Do not delete this decimal from the calculator. Now, let's multiply it by the principal, which is 12,000 British pounds. When you multiply that decimal by 12,000, you get 12,362.70. There. Mary's investment will be a value of £12,362.70.
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In a random sample 765 adults in the United States, 322 say they could not cover a $400 unexpected expense without borrowing mon
Volgvan

Answer:

a) The population under consideration in the data set is "adults in the United States".

b) The parameter being estimated is the proportion of adults in the U.S. that could not cover a $400 unexpected expense without borrowing money or going into debt.

c) The point estimate for the parameter of the population is p-hat.

d) The standard deviation of the sampling distribution

e)

\hat p=322/765=0.421\\\\s=\sqrt{\frac{\hat p(1-\hat p)}{n} } =\sqrt{\frac{0.421\cdot 0.579}{765} } =\sqrt{0.00032} =0.018

f) Yes, 50% is a value not probable if the estimations are right.

g) No, it does not change.

Step-by-step explanation:

f) We can calculate the plausability of the value 50% with our estimations.

The P-value of a proportion of 50% is very low, so the value should surprise.

z=(x-\hat p)/s=(0.5-0.421)/0.018=0.079/0.018=4.38\\\\P(z>4.38)=0

g) We re-calculate with p=0.4

z=(x-\hat p)/s=(0.5-0.4)/0.018=0.100/0.018=5.55\\\\P(z>5.55)=0

6 0
2 years ago
Which set of rational numbers are ordered from least to greatest? A number line going from negative 3 to positive 3 in increment
zysi [14]

Answer: The answer should be A

8 0
2 years ago
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If AY parallel to CX, then find ∠ABC<br><br>please help!!!!!!!!!!!!!!!!!!!
romanna [79]

Answer:

60°

Step-by-step explanation:

Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.

Therefore,

m∠FBC + m∠XCB = 180°..(By interior angle property)

m∠FBC + 130° = 180°

m∠FBC = 180° - 130°

m∠FBC = 50°....(1)

Next,

m∠ABF = m∠BAY... (Alternate angles)

m∠ABC + m∠FBC = 110°

(since, m∠ABF = m∠ABC + m∠FBC)

m∠ABC + 50° = 110° (From equation 1)

m∠ABC = 110° - 50°

\huge \purple {\boxed {m\angle ABC = 60\degree}}

8 0
2 years ago
Freddie put an empty bucket underneath a leaking pipe. After 3/4 hours, Freddie collected 1/2 cups of water. What is the rate, i
lidiya [134]
0.35 cups/hour

To be able to determine the rate at which the water is leaking from the pipe with the information given, you have to divide the number of cups by the number of hours in which they were collected:
12 cups/34 hours= 0.35 cups/hour
According to this, the answer is that the rate at which the water is leaking from the pipe is 0.35 cups/hour.

Hope this helps!!
5 0
2 years ago
Sole the equation 6n + 9 = -3n - 21 - 6 for n
lesya692 [45]
N is -4
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good luck
4 0
2 years ago
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